Question : Sukhen purchased some perishable items for sale, but 15% of those items could not be sold and went bad. However, Sukhen managed to sell the rest of the items at a price that helped him earn an overall profit of 19%. At what percentage above the cost price of each item did Sukhen sell each of the items that did not go bad?
Option 1: 40%
Option 2: 42%
Option 3: 34%
Option 4: 36%
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Correct Answer: 40%
Solution : Let the cost of one item be Re. 1. $\therefore$ Cost of 100 items will be Rs. 100. As 15% of the items went bad, Remaining items = 100 – 15 = 85 Overall profit = 19% ⇒ Selling price $= \frac{\text{Cost price}\times \text{Profit}\%}{100}+\text{Cost price}$ ⇒ Selling price $= \frac{100\times19}{100}+100$ ⇒ Selling price $= 19 +100$ ⇒ Selling price $= 119$ Now, 85 items must be sold for Rs.119. Profit = Selling price – Cost price $= 119 - 85 = 34$ $\therefore$ Profit % $= \frac{34}{85}\times 100 = 40$% Hence, the correct answer is 40%.
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Question : The marked price of 85 items was equal to the cost price of 153 items. The selling price of 104 items was equal to the marked price of 65 items. Calculate the percentage profit or loss from the sale of each item.
Option 1: 12.5% loss
Option 2: 12.5% profit
Option 3: 15% profit
Option 4: 12.25% profit
Question : The marked price of an item was Rs. 480 but the shopkeeper offered a discount of 5%. At what price does he finally sell the item?
Option 1: Rs. 435
Option 2: Rs. 450
Option 3: Rs. 466
Option 4: Rs. 456
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Option 1: 6,750
Option 2: 7,000
Option 3: 6,800
Option 4: 6,600
Question : Sourabh purchased an article for INR 48,000 and sold it at a loss of 12%. With that amount, she purchased another item and sold it at a gain of 20%. What is the overall gain or loss in INR?
Option 1: INR 2,688 loss
Option 2: INR 14,208 loss
Option 3: INR 2,688 gain
Option 4: INR 14,208 gain
Question : Manoj bought two TVs for Rs. 2280. He sold one at a loss of 20% and the other at a profit of 10%. If each TV was sold for the same price, then what is the cost price of the TV that was sold at a loss?
Option 1: Rs. 1380
Option 2: Rs. 1320
Option 3: Rs. 1050
Option 4: Rs. 1440
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